sekino_1993#
H. Sekino and R. J. Bartlett, “Molecular hyperpolarizabilities”, J. Chem. Phys. 98, 3022 (1993)
Source record · Catalogue · Review register
DOI: 10.1063/1.464129
Source kind: theory
Recorded technique: Static alpha, beta, gamma by SCF (analytic TDHF at w = 0), MBPT(2), CCSD and CCSD(T) (ACES II; analytic dipole in finite fields of 0.005 a.u. and numerical differentiation, or energy derivatives), in Sadlej’s polarizability-consistent (POL) basis (‘basis 1’), with a diffuse d set on H (‘basis 2’); frequency dependence by analytic time-dependent Hartree-Fock (TDHF) at the ruby frequency w = 0.0656 a.u., the correlated dynamic values scaled by the TDHF percentage dispersion; experimental equilibrium geometries (Table I), no vibrational corrections (pp. 3023-3024).
Materials in structured entries: CO, CO2, H2, N2
Dataset quantities: hyperpolarizability
Contents: 47 datasets; 0 formulas.
Curation notes#
Identity: pdf page 1 is the publisher’s cover; journal pages 3022-3037 = pdf pages 2-17 (page = pdf page + 3020). Curated species: CO2 (Table II), N2 (III), H2 (IV), CO (VII); C2H4, HF, H2O, NH3, H2S are skipped. The text rendering of the library is poor in the footnotes; they were read on the rendered page image (pdf page 4).
DEFINITIONS (p. 3022): ‘In the static case this expansion becomes E(F) = E0 - mu_i F_i - (1/2) alpha_ij F_i F_j - (1/3!) beta_ijk F_i F_j F_k - (1/4!) gamma_ijkl F_i F_j F_k F_l + ...’: the T convention. gamma_par = (gamma_iijj + gamma_ijij + gamma_ijji)/15 (Table II footnote e). Processes (footnotes h-k): THG gamma(-3w; w, w, w); dc-SHG gamma(-2w; w, w, 0) (eshg); IDRI ‘intensity dependent refractive index, gamma(-w; w, w, -w)’ (kerr); EOKE ‘electro-optic Kerr effect, gamma(-w; w, 0, 0)’ (dc_kerr; ‘dc-OR, gamma(0; w, -w, 0) is numerically the same as EOKE after averaging’). All dynamic values are gamma_par (the isotropic parallel average), component ‘parallel’, not the dc Kerr gamma_K. Footnote b: ‘frequency dependent polarizabilities are evaluated at w = 0.0656 a.u. = 6443 A’ (image checked; 0.0656 a.u. is 6946 A, so ‘6443’ is a misprint; the wavelength column holds 0.0656 hartree). Footnote g: ‘Correlated frequency dependent values are estimated by gamma_par CORR(w) = (gamma_par TDHF(w) / gamma_par SCF(0)) x gamma_par CORR(0)’. Atomic units. Part electronic (clamped nuclei at the experimental geometry; for H2 R = 1.4 a0).
ESU CONVERSION (Table II footnote l, Table XVII): ‘Since chi_par^(3) = gamma_par/6 conversion factor is (1/6) x 5.037 x 10^-40 esu/molecule/a.u. = 8.395 x 10^-41 esu/molecule/a.u.’: Ward’s per-molecule chi^(3) is gamma_T/6. Table XVII (p. 3033) lists chi^(3) = gamma_par^dc-SHG / 6 in 10^-39 esu/molecule: conversions of the dc-SHG rows (checked: CO2 experiment 111.9 +- 1.3 -> 1333 a.u., Table II 1332 +- 15; N2 86.6 -> 1032, 1030; CO 144.0 -> 1715, 1720; H2 exact 60.5 -> 721); not recorded again. Table XVIII (static gamma_par, CCSD(T) against CCSD+T(CCSD), two figures: CO2 1100/1200, N2 1000/1000, CO 1600/1600) and the HF discussion (Table XIX) are not recorded.
DATASETS: for each gas, <quantity>_<gas> with rows the methods scf_tdhf, mbpt2, ccsd, ccsd_t (H2: scf_tdhf, mbpt2, ccsd for basis1 [3s2p] and basis2 [3s2p1d]; CCSD is full CI for H2): static_xxxx, static_zzzz, static_xxzz (the library’s cells print ‘gamma_xxxz’, the images gamma_xxzz), static_par, thg, eshg, kerr, dc_kerr. The accuracy claimed: ‘agreement to about 10 %’ with gas-phase experiment for H2, N2, CO2, C2H4 and CO (abstract). Values are printed to two or three significant figures (e.g. 1300.0).
H2 ‘EXACT’ COLUMN (Table IV footnote b: ‘evaluated by the formulas in the footnotes c-e in Table II using the pure electronic values from Ref. 48’, Bishop, Pipin and Cybulski 1991 = bishop_1991, and earlier Bishop papers): at R = 1.4 a0, not vibrationally averaged: static components 575.9, 682.5, 211.9 (bishop_1991 Table IV, R = 1.4), gamma_par 613.2 (= (8 x 575.9 + 3 x 682.5 + 12 x 211.9)/15 = 613.17, checked), THG 858.0 (footnote f), dc-SHG 721.0, EOKE 646.0: reproduced datasets exact_*. The text (p. 3025): ‘After averaging over the vibrational zero-point wave function the exact gamma_par becomes 682.7 a.u. at the static limit and 811.6 a.u. at lambda = 694.3 nm for dc-SHG’, with the pure vibrational +183.7 (static) and -13.5 (694.3 nm), totals 866.4 and 798.1 (these are bishop_1991’s values).
EXPERIMENTAL COLUMN (reproduced, datasets expt_<process>_<gas>): CO2 THG 1860 +- 270 (footnote l, Ref. 5: Ward and Elliott, J. Chem. Phys. 69, 5438 (1978), not in the library), dc-SHG 1332 +- 15 (m, Ref. 4: Ward and Miller, Phys. Rev. A 19, 826 (1979) = ward_1979); N2 THG 1270.0 and dc-SHG 1030 +- 12 (d, Ref. 4, ward_1979; a THG value from the ESHG paper is odd: ward_1979 to be checked); CO dc-SHG 1720 +- 48 (e, Ref. 4, ward_1979); H2 THG 950 +- 140 and dc-SHG 801 +- 4.5 (e: ‘from D. P. Shelton, Phys. Rev. A 42, 2578 (1990), and include vibrational effects’), EOKE 560 +- 60 (the library reads its footnote as c, Newell and Baird, a polarizability paper; the image is unclear; source uncertain). Experimental values are totals (electronic + vibrational, and for the Kerr effect possibly more), placed at w = 0.0656 a.u. (the ruby line, 694.3 nm).
Recorded bibliographic identity status: VALIDATED_WITH_WARNINGS. This concerns identification of the source; it does not establish the scientific correctness of its contents.
Datasets#
sekino_1993/static_xxxx_CO2#
{
"id": "static_xxxx_CO2",
"material": "CO2",
"file": "CO2/sekino_1993__static_xxxx_CO2.csv",
"table": "tbl_b4418052253e",
"quantity": "hyperpolarizability",
"unit": "au",
"abscissa_unit": "hartree",
"use": "check",
"parameters": {
"process": "static",
"convention": "T",
"part": "electronic",
"component": "xxxx"
}
}
Table II, static gamma_xxxx (z the molecular axis); rows scf_tdhf, mbpt2, ccsd, ccsd_t. Electronic, experimental geometry, no vibrational correction.
sekino_1993/static_zzzz_CO2#
{
"id": "static_zzzz_CO2",
"material": "CO2",
"file": "CO2/sekino_1993__static_zzzz_CO2.csv",
"table": "tbl_b4418052253e",
"quantity": "hyperpolarizability",
"unit": "au",
"abscissa_unit": "hartree",
"use": "check",
"parameters": {
"process": "static",
"convention": "T",
"part": "electronic",
"component": "zzzz"
}
}
Table II, static gamma_zzzz; rows scf_tdhf, mbpt2, ccsd, ccsd_t. Electronic, experimental geometry, no vibrational correction.
sekino_1993/static_xxzz_CO2#
{
"id": "static_xxzz_CO2",
"material": "CO2",
"file": "CO2/sekino_1993__static_xxzz_CO2.csv",
"table": "tbl_b4418052253e",
"quantity": "hyperpolarizability",
"unit": "au",
"abscissa_unit": "hartree",
"use": "check",
"parameters": {
"process": "static",
"convention": "T",
"part": "electronic",
"component": "xxzz"
}
}
Table II, static gamma_xxzz (printed ‘gamma_xxxz’ in the library’s cells); rows scf_tdhf, mbpt2, ccsd, ccsd_t. Electronic, experimental geometry, no vibrational correction.
sekino_1993/static_par_CO2#
{
"id": "static_par_CO2",
"material": "CO2",
"file": "CO2/sekino_1993__static_par_CO2.csv",
"table": "tbl_b4418052253e",
"quantity": "hyperpolarizability",
"unit": "au",
"abscissa_unit": "hartree",
"use": "check",
"parameters": {
"process": "static",
"convention": "T",
"part": "electronic",
"component": "parallel"
}
}
Table II, static gamma_par = (gamma_iijj + gamma_ijij + gamma_ijji)/15; rows scf_tdhf, mbpt2, ccsd, ccsd_t. Electronic, experimental geometry, no vibrational correction.
sekino_1993/thg_CO2#
{
"id": "thg_CO2",
"material": "CO2",
"file": "CO2/sekino_1993__thg_CO2.csv",
"table": "tbl_b4418052253e",
"quantity": "hyperpolarizability",
"unit": "au",
"abscissa_unit": "hartree",
"use": "check",
"parameters": {
"process": "thg",
"convention": "T",
"part": "electronic",
"component": "parallel"
}
}
Table II, THG gamma_par(-3w; w, w, w) at w = 0.0656 a.u.; rows scf_tdhf, mbpt2, ccsd, ccsd_t. Correlated values = static correlated x TDHF percentage dispersion (footnote g). Electronic, experimental geometry, no vibrational correction.
sekino_1993/eshg_CO2#
{
"id": "eshg_CO2",
"material": "CO2",
"file": "CO2/sekino_1993__eshg_CO2.csv",
"table": "tbl_b4418052253e",
"quantity": "hyperpolarizability",
"unit": "au",
"abscissa_unit": "hartree",
"use": "check",
"parameters": {
"process": "eshg",
"convention": "T",
"part": "electronic",
"component": "parallel"
}
}
Table II, dc-SHG gamma_par(-2w; w, w, 0) at w = 0.0656 a.u.; rows scf_tdhf, mbpt2, ccsd, ccsd_t. Correlated values = static correlated x TDHF percentage dispersion (footnote g). Electronic, experimental geometry, no vibrational correction.
sekino_1993/kerr_CO2#
{
"id": "kerr_CO2",
"material": "CO2",
"file": "CO2/sekino_1993__kerr_CO2.csv",
"table": "tbl_b4418052253e",
"quantity": "hyperpolarizability",
"unit": "au",
"abscissa_unit": "hartree",
"use": "check",
"parameters": {
"process": "kerr",
"convention": "T",
"part": "electronic",
"component": "parallel"
}
}
Table II, IDRI gamma_par(-w; w, w, -w) at w = 0.0656 a.u.; rows scf_tdhf, mbpt2, ccsd, ccsd_t. Correlated values = static correlated x TDHF percentage dispersion (footnote g). Electronic, experimental geometry, no vibrational correction.
sekino_1993/dc_kerr_CO2#
{
"id": "dc_kerr_CO2",
"material": "CO2",
"file": "CO2/sekino_1993__dc_kerr_CO2.csv",
"table": "tbl_b4418052253e",
"quantity": "hyperpolarizability",
"unit": "au",
"abscissa_unit": "hartree",
"use": "check",
"parameters": {
"process": "dc_kerr",
"convention": "T",
"part": "electronic",
"component": "parallel"
}
}
Table II, EOKE gamma_par(-w; w, 0, 0) at w = 0.0656 a.u. (the isotropic parallel average, not gamma_K); rows scf_tdhf, mbpt2, ccsd, ccsd_t. Correlated values = static correlated x TDHF percentage dispersion (footnote g). Electronic, experimental geometry, no vibrational correction.
sekino_1993/static_xxxx_N2#
{
"id": "static_xxxx_N2",
"material": "N2",
"file": "N2/sekino_1993__static_xxxx_N2.csv",
"table": "tbl_bb8355cdb8fd",
"quantity": "hyperpolarizability",
"unit": "au",
"abscissa_unit": "hartree",
"use": "check",
"parameters": {
"process": "static",
"convention": "T",
"part": "electronic",
"component": "xxxx"
}
}
Table III, static gamma_xxxx (z the molecular axis); rows scf_tdhf, mbpt2, ccsd, ccsd_t. Electronic, experimental geometry, no vibrational correction.
sekino_1993/static_zzzz_N2#
{
"id": "static_zzzz_N2",
"material": "N2",
"file": "N2/sekino_1993__static_zzzz_N2.csv",
"table": "tbl_bb8355cdb8fd",
"quantity": "hyperpolarizability",
"unit": "au",
"abscissa_unit": "hartree",
"use": "check",
"parameters": {
"process": "static",
"convention": "T",
"part": "electronic",
"component": "zzzz"
}
}
Table III, static gamma_zzzz; rows scf_tdhf, mbpt2, ccsd, ccsd_t. Electronic, experimental geometry, no vibrational correction.
sekino_1993/static_xxzz_N2#
{
"id": "static_xxzz_N2",
"material": "N2",
"file": "N2/sekino_1993__static_xxzz_N2.csv",
"table": "tbl_bb8355cdb8fd",
"quantity": "hyperpolarizability",
"unit": "au",
"abscissa_unit": "hartree",
"use": "check",
"parameters": {
"process": "static",
"convention": "T",
"part": "electronic",
"component": "xxzz"
}
}
Table III, static gamma_xxzz (printed ‘gamma_xxxz’ in the library’s cells); rows scf_tdhf, mbpt2, ccsd, ccsd_t. Electronic, experimental geometry, no vibrational correction.
sekino_1993/static_par_N2#
{
"id": "static_par_N2",
"material": "N2",
"file": "N2/sekino_1993__static_par_N2.csv",
"table": "tbl_bb8355cdb8fd",
"quantity": "hyperpolarizability",
"unit": "au",
"abscissa_unit": "hartree",
"use": "check",
"parameters": {
"process": "static",
"convention": "T",
"part": "electronic",
"component": "parallel"
}
}
Table III, static gamma_par = (gamma_iijj + gamma_ijij + gamma_ijji)/15; rows scf_tdhf, mbpt2, ccsd, ccsd_t. Electronic, experimental geometry, no vibrational correction.
sekino_1993/thg_N2#
{
"id": "thg_N2",
"material": "N2",
"file": "N2/sekino_1993__thg_N2.csv",
"table": "tbl_bb8355cdb8fd",
"quantity": "hyperpolarizability",
"unit": "au",
"abscissa_unit": "hartree",
"use": "check",
"parameters": {
"process": "thg",
"convention": "T",
"part": "electronic",
"component": "parallel"
}
}
Table III, THG gamma_par(-3w; w, w, w) at w = 0.0656 a.u.; rows scf_tdhf, mbpt2, ccsd, ccsd_t. Correlated values = static correlated x TDHF percentage dispersion (footnote g). Electronic, experimental geometry, no vibrational correction.
sekino_1993/eshg_N2#
{
"id": "eshg_N2",
"material": "N2",
"file": "N2/sekino_1993__eshg_N2.csv",
"table": "tbl_bb8355cdb8fd",
"quantity": "hyperpolarizability",
"unit": "au",
"abscissa_unit": "hartree",
"use": "check",
"parameters": {
"process": "eshg",
"convention": "T",
"part": "electronic",
"component": "parallel"
}
}
Table III, dc-SHG gamma_par(-2w; w, w, 0) at w = 0.0656 a.u.; rows scf_tdhf, mbpt2, ccsd, ccsd_t. Correlated values = static correlated x TDHF percentage dispersion (footnote g). Electronic, experimental geometry, no vibrational correction.
sekino_1993/kerr_N2#
{
"id": "kerr_N2",
"material": "N2",
"file": "N2/sekino_1993__kerr_N2.csv",
"table": "tbl_bb8355cdb8fd",
"quantity": "hyperpolarizability",
"unit": "au",
"abscissa_unit": "hartree",
"use": "check",
"parameters": {
"process": "kerr",
"convention": "T",
"part": "electronic",
"component": "parallel"
}
}
Table III, IDRI gamma_par(-w; w, w, -w) at w = 0.0656 a.u.; rows scf_tdhf, mbpt2, ccsd, ccsd_t. Correlated values = static correlated x TDHF percentage dispersion (footnote g). Electronic, experimental geometry, no vibrational correction.
sekino_1993/dc_kerr_N2#
{
"id": "dc_kerr_N2",
"material": "N2",
"file": "N2/sekino_1993__dc_kerr_N2.csv",
"table": "tbl_bb8355cdb8fd",
"quantity": "hyperpolarizability",
"unit": "au",
"abscissa_unit": "hartree",
"use": "check",
"parameters": {
"process": "dc_kerr",
"convention": "T",
"part": "electronic",
"component": "parallel"
}
}
Table III, EOKE gamma_par(-w; w, 0, 0) at w = 0.0656 a.u. (the isotropic parallel average, not gamma_K); rows scf_tdhf, mbpt2, ccsd, ccsd_t. Correlated values = static correlated x TDHF percentage dispersion (footnote g). Electronic, experimental geometry, no vibrational correction.
sekino_1993/static_xxxx_H2#
{
"id": "static_xxxx_H2",
"material": "H2",
"file": "H2/sekino_1993__static_xxxx_H2.csv",
"table": "tbl_91e0d5d3a5bb",
"quantity": "hyperpolarizability",
"unit": "au",
"abscissa_unit": "hartree",
"use": "check",
"parameters": {
"process": "static",
"convention": "T",
"part": "electronic",
"component": "xxxx"
}
}
Table IV, static gamma_xxxx (z the molecular axis); rows scf_tdhf, mbpt2, ccsd for basis1 [3s2p] and basis2 [3s2p1d] (footnote a); CCSD is full CI for H2. Electronic, experimental geometry, no vibrational correction.
sekino_1993/static_zzzz_H2#
{
"id": "static_zzzz_H2",
"material": "H2",
"file": "H2/sekino_1993__static_zzzz_H2.csv",
"table": "tbl_91e0d5d3a5bb",
"quantity": "hyperpolarizability",
"unit": "au",
"abscissa_unit": "hartree",
"use": "check",
"parameters": {
"process": "static",
"convention": "T",
"part": "electronic",
"component": "zzzz"
}
}
Table IV, static gamma_zzzz; rows scf_tdhf, mbpt2, ccsd for basis1 [3s2p] and basis2 [3s2p1d] (footnote a); CCSD is full CI for H2. Electronic, experimental geometry, no vibrational correction.
sekino_1993/static_xxzz_H2#
{
"id": "static_xxzz_H2",
"material": "H2",
"file": "H2/sekino_1993__static_xxzz_H2.csv",
"table": "tbl_91e0d5d3a5bb",
"quantity": "hyperpolarizability",
"unit": "au",
"abscissa_unit": "hartree",
"use": "check",
"parameters": {
"process": "static",
"convention": "T",
"part": "electronic",
"component": "xxzz"
}
}
Table IV, static gamma_xxzz (printed ‘gamma_xxxz’ in the library’s cells); rows scf_tdhf, mbpt2, ccsd for basis1 [3s2p] and basis2 [3s2p1d] (footnote a); CCSD is full CI for H2. Electronic, experimental geometry, no vibrational correction.
sekino_1993/static_par_H2#
{
"id": "static_par_H2",
"material": "H2",
"file": "H2/sekino_1993__static_par_H2.csv",
"table": "tbl_91e0d5d3a5bb",
"quantity": "hyperpolarizability",
"unit": "au",
"abscissa_unit": "hartree",
"use": "check",
"parameters": {
"process": "static",
"convention": "T",
"part": "electronic",
"component": "parallel"
}
}
Table IV, static gamma_par = (gamma_iijj + gamma_ijij + gamma_ijji)/15; rows scf_tdhf, mbpt2, ccsd for basis1 [3s2p] and basis2 [3s2p1d] (footnote a); CCSD is full CI for H2. Electronic, experimental geometry, no vibrational correction.
sekino_1993/thg_H2#
{
"id": "thg_H2",
"material": "H2",
"file": "H2/sekino_1993__thg_H2.csv",
"table": "tbl_91e0d5d3a5bb",
"quantity": "hyperpolarizability",
"unit": "au",
"abscissa_unit": "hartree",
"use": "check",
"parameters": {
"process": "thg",
"convention": "T",
"part": "electronic",
"component": "parallel"
}
}
Table IV, THG gamma_par(-3w; w, w, w) at w = 0.0656 a.u.; rows scf_tdhf, mbpt2, ccsd for basis1 [3s2p] and basis2 [3s2p1d] (footnote a); CCSD is full CI for H2. Correlated values = static correlated x TDHF percentage dispersion (footnote g). Electronic, experimental geometry, no vibrational correction.
sekino_1993/eshg_H2#
{
"id": "eshg_H2",
"material": "H2",
"file": "H2/sekino_1993__eshg_H2.csv",
"table": "tbl_91e0d5d3a5bb",
"quantity": "hyperpolarizability",
"unit": "au",
"abscissa_unit": "hartree",
"use": "check",
"parameters": {
"process": "eshg",
"convention": "T",
"part": "electronic",
"component": "parallel"
}
}
Table IV, dc-SHG gamma_par(-2w; w, w, 0) at w = 0.0656 a.u.; rows scf_tdhf, mbpt2, ccsd for basis1 [3s2p] and basis2 [3s2p1d] (footnote a); CCSD is full CI for H2. Correlated values = static correlated x TDHF percentage dispersion (footnote g). Electronic, experimental geometry, no vibrational correction.
sekino_1993/kerr_H2#
{
"id": "kerr_H2",
"material": "H2",
"file": "H2/sekino_1993__kerr_H2.csv",
"table": "tbl_91e0d5d3a5bb",
"quantity": "hyperpolarizability",
"unit": "au",
"abscissa_unit": "hartree",
"use": "check",
"parameters": {
"process": "kerr",
"convention": "T",
"part": "electronic",
"component": "parallel"
}
}
Table IV, IDRI gamma_par(-w; w, w, -w) at w = 0.0656 a.u.; rows scf_tdhf, mbpt2, ccsd for basis1 [3s2p] and basis2 [3s2p1d] (footnote a); CCSD is full CI for H2. Correlated values = static correlated x TDHF percentage dispersion (footnote g). Electronic, experimental geometry, no vibrational correction.
sekino_1993/dc_kerr_H2#
{
"id": "dc_kerr_H2",
"material": "H2",
"file": "H2/sekino_1993__dc_kerr_H2.csv",
"table": "tbl_91e0d5d3a5bb",
"quantity": "hyperpolarizability",
"unit": "au",
"abscissa_unit": "hartree",
"use": "check",
"parameters": {
"process": "dc_kerr",
"convention": "T",
"part": "electronic",
"component": "parallel"
}
}
Table IV, EOKE gamma_par(-w; w, 0, 0) at w = 0.0656 a.u. (the isotropic parallel average, not gamma_K); rows scf_tdhf, mbpt2, ccsd for basis1 [3s2p] and basis2 [3s2p1d] (footnote a); CCSD is full CI for H2. Correlated values = static correlated x TDHF percentage dispersion (footnote g). Electronic, experimental geometry, no vibrational correction.
sekino_1993/static_xxxx_CO#
{
"id": "static_xxxx_CO",
"material": "CO",
"file": "CO/sekino_1993__static_xxxx_CO.csv",
"table": "tbl_e455f4ab1704",
"quantity": "hyperpolarizability",
"unit": "au",
"abscissa_unit": "hartree",
"use": "check",
"parameters": {
"process": "static",
"convention": "T",
"part": "electronic",
"component": "xxxx"
}
}
Table VII, static gamma_xxxx (z the molecular axis); rows scf_tdhf, mbpt2, ccsd, ccsd_t. Electronic, experimental geometry, no vibrational correction.
sekino_1993/static_zzzz_CO#
{
"id": "static_zzzz_CO",
"material": "CO",
"file": "CO/sekino_1993__static_zzzz_CO.csv",
"table": "tbl_e455f4ab1704",
"quantity": "hyperpolarizability",
"unit": "au",
"abscissa_unit": "hartree",
"use": "check",
"parameters": {
"process": "static",
"convention": "T",
"part": "electronic",
"component": "zzzz"
}
}
Table VII, static gamma_zzzz; rows scf_tdhf, mbpt2, ccsd, ccsd_t. Electronic, experimental geometry, no vibrational correction.
sekino_1993/static_xxzz_CO#
{
"id": "static_xxzz_CO",
"material": "CO",
"file": "CO/sekino_1993__static_xxzz_CO.csv",
"table": "tbl_e455f4ab1704",
"quantity": "hyperpolarizability",
"unit": "au",
"abscissa_unit": "hartree",
"use": "check",
"parameters": {
"process": "static",
"convention": "T",
"part": "electronic",
"component": "xxzz"
}
}
Table VII, static gamma_xxzz (printed ‘gamma_xxxz’ in the library’s cells); rows scf_tdhf, mbpt2, ccsd, ccsd_t. Electronic, experimental geometry, no vibrational correction.
sekino_1993/static_par_CO#
{
"id": "static_par_CO",
"material": "CO",
"file": "CO/sekino_1993__static_par_CO.csv",
"table": "tbl_e455f4ab1704",
"quantity": "hyperpolarizability",
"unit": "au",
"abscissa_unit": "hartree",
"use": "check",
"parameters": {
"process": "static",
"convention": "T",
"part": "electronic",
"component": "parallel"
}
}
Table VII, static gamma_par = (gamma_iijj + gamma_ijij + gamma_ijji)/15; rows scf_tdhf, mbpt2, ccsd, ccsd_t. Electronic, experimental geometry, no vibrational correction.
sekino_1993/thg_CO#
{
"id": "thg_CO",
"material": "CO",
"file": "CO/sekino_1993__thg_CO.csv",
"table": "tbl_e455f4ab1704",
"quantity": "hyperpolarizability",
"unit": "au",
"abscissa_unit": "hartree",
"use": "check",
"parameters": {
"process": "thg",
"convention": "T",
"part": "electronic",
"component": "parallel"
}
}
Table VII, THG gamma_par(-3w; w, w, w) at w = 0.0656 a.u.; rows scf_tdhf, mbpt2, ccsd, ccsd_t. Correlated values = static correlated x TDHF percentage dispersion (footnote g). Electronic, experimental geometry, no vibrational correction.
sekino_1993/eshg_CO#
{
"id": "eshg_CO",
"material": "CO",
"file": "CO/sekino_1993__eshg_CO.csv",
"table": "tbl_e455f4ab1704",
"quantity": "hyperpolarizability",
"unit": "au",
"abscissa_unit": "hartree",
"use": "check",
"parameters": {
"process": "eshg",
"convention": "T",
"part": "electronic",
"component": "parallel"
}
}
Table VII, dc-SHG gamma_par(-2w; w, w, 0) at w = 0.0656 a.u.; rows scf_tdhf, mbpt2, ccsd, ccsd_t. Correlated values = static correlated x TDHF percentage dispersion (footnote g). Electronic, experimental geometry, no vibrational correction.
sekino_1993/kerr_CO#
{
"id": "kerr_CO",
"material": "CO",
"file": "CO/sekino_1993__kerr_CO.csv",
"table": "tbl_e455f4ab1704",
"quantity": "hyperpolarizability",
"unit": "au",
"abscissa_unit": "hartree",
"use": "check",
"parameters": {
"process": "kerr",
"convention": "T",
"part": "electronic",
"component": "parallel"
}
}
Table VII, IDRI gamma_par(-w; w, w, -w) at w = 0.0656 a.u.; rows scf_tdhf, mbpt2, ccsd, ccsd_t. Correlated values = static correlated x TDHF percentage dispersion (footnote g). Electronic, experimental geometry, no vibrational correction.
sekino_1993/dc_kerr_CO#
{
"id": "dc_kerr_CO",
"material": "CO",
"file": "CO/sekino_1993__dc_kerr_CO.csv",
"table": "tbl_e455f4ab1704",
"quantity": "hyperpolarizability",
"unit": "au",
"abscissa_unit": "hartree",
"use": "check",
"parameters": {
"process": "dc_kerr",
"convention": "T",
"part": "electronic",
"component": "parallel"
}
}
Table VII, EOKE gamma_par(-w; w, 0, 0) at w = 0.0656 a.u. (the isotropic parallel average, not gamma_K); rows scf_tdhf, mbpt2, ccsd, ccsd_t. Correlated values = static correlated x TDHF percentage dispersion (footnote g). Electronic, experimental geometry, no vibrational correction.
sekino_1993/exact_static_xxxx_H2#
{
"id": "exact_static_xxxx_H2",
"material": "H2",
"file": "H2/sekino_1993__exact_static_xxxx_H2.csv",
"table": "tbl_91e0d5d3a5bb",
"quantity": "hyperpolarizability",
"unit": "au",
"abscissa_unit": "hartree",
"use": "reproduced",
"reproduced_from": [
"bishop_1991",
"D. M. Bishop and B. Lam, J. Chem. Phys. 89, 1571 (1988)",
"bishop_1990b"
],
"parameters": {
"process": "static",
"convention": "T",
"part": "electronic",
"component": "xxxx"
}
}
Table IV ‘Exact’ (footnote b): Bishop et al.’s pure electronic H2 values at R = 1.4 a0 (Ref. 48), combined with the Table II formulas. Not vibrationally averaged.
sekino_1993/exact_static_zzzz_H2#
{
"id": "exact_static_zzzz_H2",
"material": "H2",
"file": "H2/sekino_1993__exact_static_zzzz_H2.csv",
"table": "tbl_91e0d5d3a5bb",
"quantity": "hyperpolarizability",
"unit": "au",
"abscissa_unit": "hartree",
"use": "reproduced",
"reproduced_from": [
"bishop_1991",
"D. M. Bishop and B. Lam, J. Chem. Phys. 89, 1571 (1988)",
"bishop_1990b"
],
"parameters": {
"process": "static",
"convention": "T",
"part": "electronic",
"component": "zzzz"
}
}
Table IV ‘Exact’ (footnote b): Bishop et al.’s pure electronic H2 values at R = 1.4 a0 (Ref. 48), combined with the Table II formulas. Not vibrationally averaged.
sekino_1993/exact_static_xxzz_H2#
{
"id": "exact_static_xxzz_H2",
"material": "H2",
"file": "H2/sekino_1993__exact_static_xxzz_H2.csv",
"table": "tbl_91e0d5d3a5bb",
"quantity": "hyperpolarizability",
"unit": "au",
"abscissa_unit": "hartree",
"use": "reproduced",
"reproduced_from": [
"bishop_1991",
"D. M. Bishop and B. Lam, J. Chem. Phys. 89, 1571 (1988)",
"bishop_1990b"
],
"parameters": {
"process": "static",
"convention": "T",
"part": "electronic",
"component": "xxzz"
}
}
Table IV ‘Exact’ (footnote b): Bishop et al.’s pure electronic H2 values at R = 1.4 a0 (Ref. 48), combined with the Table II formulas. Not vibrationally averaged.
sekino_1993/exact_static_par_H2#
{
"id": "exact_static_par_H2",
"material": "H2",
"file": "H2/sekino_1993__exact_static_par_H2.csv",
"table": "tbl_91e0d5d3a5bb",
"quantity": "hyperpolarizability",
"unit": "au",
"abscissa_unit": "hartree",
"use": "reproduced",
"reproduced_from": [
"bishop_1991",
"D. M. Bishop and B. Lam, J. Chem. Phys. 89, 1571 (1988)",
"bishop_1990b"
],
"parameters": {
"process": "static",
"convention": "T",
"part": "electronic",
"component": "parallel"
}
}
Table IV ‘Exact’ (footnote b): Bishop et al.’s pure electronic H2 values at R = 1.4 a0 (Ref. 48), combined with the Table II formulas. Not vibrationally averaged.
sekino_1993/exact_thg_H2#
{
"id": "exact_thg_H2",
"material": "H2",
"file": "H2/sekino_1993__exact_thg_H2.csv",
"table": "tbl_91e0d5d3a5bb",
"quantity": "hyperpolarizability",
"unit": "au",
"abscissa_unit": "hartree",
"use": "reproduced",
"reproduced_from": [
"bishop_1991",
"D. M. Bishop and B. Lam, J. Chem. Phys. 89, 1571 (1988)",
"bishop_1990b"
],
"parameters": {
"process": "thg",
"convention": "T",
"part": "electronic",
"component": "parallel"
}
}
Table IV ‘Exact’ (footnote b): Bishop et al.’s pure electronic H2 values at R = 1.4 a0 (Ref. 48), combined with the Table II formulas; footnote f. Not vibrationally averaged.
sekino_1993/exact_eshg_H2#
{
"id": "exact_eshg_H2",
"material": "H2",
"file": "H2/sekino_1993__exact_eshg_H2.csv",
"table": "tbl_91e0d5d3a5bb",
"quantity": "hyperpolarizability",
"unit": "au",
"abscissa_unit": "hartree",
"use": "reproduced",
"reproduced_from": [
"bishop_1991",
"D. M. Bishop and B. Lam, J. Chem. Phys. 89, 1571 (1988)",
"bishop_1990b"
],
"parameters": {
"process": "eshg",
"convention": "T",
"part": "electronic",
"component": "parallel"
}
}
Table IV ‘Exact’ (footnote b): Bishop et al.’s pure electronic H2 values at R = 1.4 a0 (Ref. 48), combined with the Table II formulas. Not vibrationally averaged.
sekino_1993/exact_dc_kerr_H2#
{
"id": "exact_dc_kerr_H2",
"material": "H2",
"file": "H2/sekino_1993__exact_dc_kerr_H2.csv",
"table": "tbl_91e0d5d3a5bb",
"quantity": "hyperpolarizability",
"unit": "au",
"abscissa_unit": "hartree",
"use": "reproduced",
"reproduced_from": [
"bishop_1991",
"D. M. Bishop and B. Lam, J. Chem. Phys. 89, 1571 (1988)",
"bishop_1990b"
],
"parameters": {
"process": "dc_kerr",
"convention": "T",
"part": "electronic",
"component": "parallel"
}
}
Table IV ‘Exact’ (footnote b): Bishop et al.’s pure electronic H2 values at R = 1.4 a0 (Ref. 48), combined with the Table II formulas. Not vibrationally averaged.
sekino_1993/expt_thg_CO2#
{
"id": "expt_thg_CO2",
"material": "CO2",
"file": "CO2/sekino_1993__expt_thg_CO2.csv",
"table": "tbl_b4418052253e",
"quantity": "hyperpolarizability",
"unit": "au",
"abscissa_unit": "hartree",
"use": "reproduced",
"reproduced_from": [
"J. F. Ward and D. S. Elliott, J. Chem. Phys. 69, 5438 (1978)"
],
"uncertainty": {
"column": true,
"level": "not stated"
},
"parameters": {
"process": "thg",
"convention": "T",
"part": "total",
"component": "parallel"
}
}
Table II ‘EXP’: THG 1860 +- 270, footnote l (Ref. 5). A measured total (electronic plus vibrational), at the ruby frequency; the level of the uncertainty is not stated.
sekino_1993/expt_eshg_CO2#
{
"id": "expt_eshg_CO2",
"material": "CO2",
"file": "CO2/sekino_1993__expt_eshg_CO2.csv",
"table": "tbl_b4418052253e",
"quantity": "hyperpolarizability",
"unit": "au",
"abscissa_unit": "hartree",
"use": "reproduced",
"reproduced_from": [
"ward_1979"
],
"uncertainty": {
"column": true,
"level": "not stated"
},
"parameters": {
"process": "eshg",
"convention": "T",
"part": "total",
"component": "parallel"
}
}
Table II ‘EXP’: dc-SHG 1332 +- 15, footnote m (Ref. 4, Ward and Miller 1979). A measured total (electronic plus vibrational), at the ruby frequency; the level of the uncertainty is not stated.
sekino_1993/expt_thg_N2#
{
"id": "expt_thg_N2",
"material": "N2",
"file": "N2/sekino_1993__expt_thg_N2.csv",
"table": "tbl_bb8355cdb8fd",
"quantity": "hyperpolarizability",
"unit": "au",
"abscissa_unit": "hartree",
"use": "reproduced",
"reproduced_from": [
"ward_1979"
],
"uncertainty": {
"column": true,
"level": "not stated"
},
"parameters": {
"process": "thg",
"convention": "T",
"part": "total",
"component": "parallel"
}
}
Table III ‘EXP’: THG 1270.0, footnote d (Ref. 4, Ward and Miller 1979, as printed; a THG value attributed to the ESHG paper: check). A measured total (electronic plus vibrational), at the ruby frequency; the level of the uncertainty is not stated.
sekino_1993/expt_eshg_N2#
{
"id": "expt_eshg_N2",
"material": "N2",
"file": "N2/sekino_1993__expt_eshg_N2.csv",
"table": "tbl_bb8355cdb8fd",
"quantity": "hyperpolarizability",
"unit": "au",
"abscissa_unit": "hartree",
"use": "reproduced",
"reproduced_from": [
"ward_1979"
],
"uncertainty": {
"column": true,
"level": "not stated"
},
"parameters": {
"process": "eshg",
"convention": "T",
"part": "total",
"component": "parallel"
}
}
Table III ‘EXP’: dc-SHG 1030 +- 12, footnote d (Ref. 4). A measured total (electronic plus vibrational), at the ruby frequency; the level of the uncertainty is not stated.
sekino_1993/expt_eshg_CO#
{
"id": "expt_eshg_CO",
"material": "CO",
"file": "CO/sekino_1993__expt_eshg_CO.csv",
"table": "tbl_e455f4ab1704",
"quantity": "hyperpolarizability",
"unit": "au",
"abscissa_unit": "hartree",
"use": "reproduced",
"reproduced_from": [
"ward_1979"
],
"uncertainty": {
"column": true,
"level": "not stated"
},
"parameters": {
"process": "eshg",
"convention": "T",
"part": "total",
"component": "parallel"
}
}
Table VII ‘EXP’: dc-SHG 1720 +- 48, footnote e (Ref. 4). A measured total (electronic plus vibrational), at the ruby frequency; the level of the uncertainty is not stated.
sekino_1993/expt_thg_H2#
{
"id": "expt_thg_H2",
"material": "H2",
"file": "H2/sekino_1993__expt_thg_H2.csv",
"table": "tbl_91e0d5d3a5bb",
"quantity": "hyperpolarizability",
"unit": "au",
"abscissa_unit": "hartree",
"use": "reproduced",
"reproduced_from": [
"shelton_1990"
],
"uncertainty": {
"column": true,
"level": "not stated"
},
"parameters": {
"process": "thg",
"convention": "T",
"part": "total",
"component": "parallel"
}
}
Table IV ‘EXP’: THG 950 +- 140, footnote e (Shelton 1990, ‘include vibrational effects’; a THG value from Shelton’s ESHG paper, as printed). A measured total (electronic plus vibrational), at the ruby frequency; the level of the uncertainty is not stated.
sekino_1993/expt_eshg_H2#
{
"id": "expt_eshg_H2",
"material": "H2",
"file": "H2/sekino_1993__expt_eshg_H2.csv",
"table": "tbl_91e0d5d3a5bb",
"quantity": "hyperpolarizability",
"unit": "au",
"abscissa_unit": "hartree",
"use": "reproduced",
"reproduced_from": [
"shelton_1990"
],
"uncertainty": {
"column": true,
"level": "not stated"
},
"parameters": {
"process": "eshg",
"convention": "T",
"part": "total",
"component": "parallel"
}
}
Table IV ‘EXP’: dc-SHG 801 +- 4.5, footnote e (Shelton 1990, including vibrational effects). A measured total (electronic plus vibrational), at the ruby frequency; the level of the uncertainty is not stated.
sekino_1993/expt_dc_kerr_H2#
{
"id": "expt_dc_kerr_H2",
"material": "H2",
"file": "H2/sekino_1993__expt_dc_kerr_H2.csv",
"table": "tbl_91e0d5d3a5bb",
"quantity": "hyperpolarizability",
"unit": "au",
"abscissa_unit": "hartree",
"use": "reproduced",
"reproduced_from": [
"As printed: Table IV footnote c, A. C. Newell and R. C. Baird, J. Appl. Phys. 36, 3751 (1965), a polarizability paper; the true source of this Kerr value is uncertain"
],
"uncertainty": {
"column": true,
"level": "not stated"
},
"parameters": {
"process": "dc_kerr",
"convention": "T",
"part": "total",
"component": "parallel"
}
}
Table IV ‘EXP’: EOKE 560 +- 60, footnote c as the library reads it (image unclear). A measured total (electronic plus vibrational), at the ruby frequency; the level of the uncertainty is not stated.
Formulas#
No formulas are recorded.
Corrections#
No dataset errata are recorded in this source record.
Formula corrections, where recorded, appear with their formulas above. Curation notes may also discuss corrections or unresolved interpretation. Consult the review register for the checks and decisions.